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4131231104 = 2771113191697
BaseRepresentation
bin1111011000111101…
…1001010110000000
3101122220122021200102
43312033121112000
531430043343404
61521534341532
7204242612360
oct36617312600
911586567612
104131231104
11182aa77090
1297365a8a8
1350ab7b660
142b29549a0
15192a4871e
hexf63d9580

4131231104 has 256 divisors, whose sum is σ = 11638771200. Its totient is φ = 1406730240.

The previous prime is 4131231073. The next prime is 4131231107. The reversal of 4131231104 is 4011321314.

4131231104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131231107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433584 + ... + 2435280.

It is an arithmetic number, because the mean of its divisors is an integer number (45463950).

Almost surely, 24131231104 is an apocalyptic number.

4131231104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819385600).

4131231104 is an abundant number, since it is smaller than the sum of its proper divisors (7507540096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131231104 is a wasteful number, since it uses less digits than its factorization.

4131231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4131231104 is about 64274.6536669005. The cubic root of 4131231104 is about 1604.5742932713.

Adding to 4131231104 its reverse (4011321314), we get a palindrome (8142552418).

The spelling of 4131231104 in words is "four billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred four".